Solutions to a class of parabolic inhomogeneous normalized p-laplace equations

In this article, we prove that viscosity solutions of the parabolic inhomogeneous equations n+pput−ΔpNu=f(x,t)can be characterized using asymptotic mean value properties for all p ≥ 1, including p = 1 and p = ∞. We also obtain a comparison principle for the non-negative or non-positive inhomogeneous term f for the corresponding initial-boundary value problem and this in turn implies the uniqueness of solutions to such a problem.